In the figure, not drawn to scale, O is the centre of the semi circle and OGHJ is a rhombus. ∠OJK = 34°. Find
- ∠g
- ∠h.
(a)
OJ = OK = Radius
∠JOK
= 180° - 34° - 34°
= 112° (Isosceles triangle)
∠g = ∠JOK = 112° (Corresponding angles, GH//OJ)
(b)
∠h
= 180° - 112°
= 68° (Interior angles, HJ//GO)
Answer(s): (a) 112°; (b) 68°